%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO440+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:39 AM UTC 2026
% Result : Theorem 18.94s 7.45s
% Output : Refutation 46.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 57 ( 11 unt; 2 def)
% Number of atoms : 125 ( 50 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 121 ( 53 ~; 54 |; 7 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 38 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,axiom,
! [X0] : s(num,i(s(fun(num,num),numeral),s(num,X0))) = s(num,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNUMERAL) ).
fof(f1028,axiom,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| s(real,X0) = s(real,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aREALu_LEu_LT) ).
fof(f1033,axiom,
! [X0] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aREALu_LTu_REFL) ).
fof(f2846,axiom,
! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_POSu_LE) ).
fof(f2851,axiom,
! [X0,X1] :
( s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
<=> s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_EQu_0) ).
fof(f2852,conjecture,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))))
<=> s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_POSu_LT) ).
fof(f2853,negated_conjecture,
~ ! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))))
<=> s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(negated_conjecture,[status(cth)],[f2852]) ).
fof(f3229,plain,
? [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))))
<~> s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(ennf_transformation,[],[f2853]) ).
fof(f4522,plain,
! [X0,X1] :
( ( s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )
& ( s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))) ) ),
inference(nnf_transformation,[],[f2851]) ).
fof(f4523,plain,
? [X0,X1] :
( ( s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))) )
& ( s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))) ) ),
inference(nnf_transformation,[],[f3229]) ).
fof(f4524,plain,
( ( s(cart(real,sK70),sK71) = s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71)))))) )
& ( s(cart(real,sK70),sK71) != s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71)))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70,sK71]),skolemize(X0,sK70),skolemize(X1,sK71)],[f4523]) ).
fof(f5073,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
& s(real,X0) != s(real,X1) ) )
& ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| s(real,X0) = s(real,X1)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ) ),
inference(nnf_transformation,[],[f1028]) ).
fof(f5074,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
& s(real,X0) != s(real,X1) ) )
& ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| s(real,X0) = s(real,X1)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ) ),
inference(flattening,[],[f5073]) ).
fof(f6514,plain,
! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))),
inference(cnf_transformation,[],[f2846]) ).
fof(f6520,plain,
! [X0,X1] :
( s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))) ),
inference(cnf_transformation,[],[f4522]) ).
fof(f6521,plain,
! [X0,X1] :
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))
| s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(cnf_transformation,[],[f4522]) ).
fof(f6522,plain,
( s(cart(real,sK70),sK71) != s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71)))))) ),
inference(cnf_transformation,[],[f4524]) ).
fof(f6523,plain,
( s(cart(real,sK70),sK71) = s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71)))))) ),
inference(cnf_transformation,[],[f4524]) ).
fof(f6885,plain,
! [X0] : s(num,X0) = s(num,i(s(fun(num,num),numeral),s(num,X0))),
inference(cnf_transformation,[],[f200]) ).
fof(f7672,plain,
! [X0] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X0)))),
inference(cnf_transformation,[],[f1033]) ).
fof(f7678,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| s(real,X0) = s(real,X1)
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f5074]) ).
fof(f11696,plain,
( s(cart(real,sK70),sK71) != s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,u_0)))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71)))))) ),
inference(forward_demodulation,[],[f6522,f6885]) ).
fof(f11697,plain,
( s(cart(real,sK70),sK71) = s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,u_0)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71)))))) ),
inference(forward_demodulation,[],[f6523,f6885]) ).
fof(f11698,plain,
! [X0,X1] :
( s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0)))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))) ),
inference(forward_demodulation,[],[f6520,f6885]) ).
fof(f11699,plain,
! [X0,X1] :
( s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(forward_demodulation,[],[f6521,f6885]) ).
fof(f11702,plain,
! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))),
inference(forward_demodulation,[],[f6514,f6885]) ).
fof(f12260,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71))))))
| s(cart(real,sK70),sK71) != s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,u_0))) ),
inference(forward_demodulation,[],[f11696,f6885]) ).
fof(f12261,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71))))))
| s(cart(real,sK70),sK71) = s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,u_0))) ),
inference(forward_demodulation,[],[f11697,f6885]) ).
fof(f12262,plain,
! [X0,X1] :
( s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))) ),
inference(forward_demodulation,[],[f11698,f6885]) ).
fof(f12263,plain,
! [X0,X1] :
( s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0)))
| s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) ),
inference(forward_demodulation,[],[f11699,f6885]) ).
fof(f12531,definition,
( spl1851_136
<=> s(cart(real,sK70),sK71) = s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,u_0))) ),
introduced(definition,[new_symbols(definition,[spl1851_136])],[avatar_definition]) ).
fof(f12532,plain,
( s(cart(real,sK70),sK71) != s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,u_0)))
| spl1851_136 ),
inference(avatar_component_clause,[],[f12531]) ).
fof(f12534,definition,
( spl1851_137
<=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71)))))) ),
introduced(definition,[new_symbols(definition,[spl1851_137])],[avatar_definition]) ).
fof(f12535,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71))))))
| ~ spl1851_137 ),
inference(avatar_component_clause,[],[f12534]) ).
fof(f12536,plain,
( ~ spl1851_136
| spl1851_137 ),
inference(avatar_split_clause,[],[f12260,f12534,f12531]) ).
fof(f12537,plain,
( s(cart(real,sK70),sK71) = s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,u_0)))
| ~ spl1851_136 ),
inference(avatar_component_clause,[],[f12531]) ).
fof(f12538,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71))))))
| spl1851_137 ),
inference(avatar_component_clause,[],[f12534]) ).
fof(f12539,plain,
( spl1851_136
| ~ spl1851_137 ),
inference(avatar_split_clause,[],[f12261,f12534,f12531]) ).
fof(f12830,plain,
( s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71))))))
| spl1851_137 ),
inference(resolution,[],[f7678,f12538]) ).
fof(f12853,plain,
( s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| spl1851_137 ),
inference(forward_subsumption_resolution,[],[f12830,f11702]) ).
fof(f12857,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| s(cart(real,sK70),sK71) = s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,u_0)))
| spl1851_137 ),
inference(superposition,[],[f12262,f12853]) ).
fof(f12862,plain,
( s(cart(real,sK70),sK71) = s(cart(real,sK70),i(s(fun(num,cart(real,sK70)),vec),s(num,u_0)))
| spl1851_137 ),
inference(trivial_inequality_removal,[],[f12857]) ).
fof(f12864,plain,
( $false
| spl1851_136
| spl1851_137 ),
inference(forward_subsumption_resolution,[],[f12862,f12532]) ).
fof(f12865,plain,
( spl1851_136
| spl1851_137 ),
inference(avatar_contradiction_clause,[],[f12864]) ).
fof(f12884,plain,
( s(cart(real,sK70),sK71) != s(cart(real,sK70),sK71)
| s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| ~ spl1851_136 ),
inference(superposition,[],[f12263,f12537]) ).
fof(f12891,plain,
( s(real,i(s(fun(cart(real,sK70),real),vectoru_norm),s(cart(real,sK70),sK71))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| ~ spl1851_136 ),
inference(trivial_inequality_removal,[],[f12884]) ).
fof(f12912,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))
| ~ spl1851_136
| ~ spl1851_137 ),
inference(superposition,[],[f12535,f12891]) ).
fof(f12920,plain,
( $false
| ~ spl1851_136
| ~ spl1851_137 ),
inference(forward_subsumption_resolution,[],[f12912,f7672]) ).
fof(f12921,plain,
( ~ spl1851_136
| ~ spl1851_137 ),
inference(avatar_contradiction_clause,[],[f12920]) ).
cnf(s123,plain,
( ~ spl1851_136
| spl1851_137 ),
inference(sat_conversion,[],[f12536]) ).
cnf(s124,plain,
( spl1851_136
| ~ spl1851_137 ),
inference(sat_conversion,[],[f12539]) ).
cnf(s141,plain,
( spl1851_136
| spl1851_137 ),
inference(sat_conversion,[],[f12865]) ).
cnf(s142,plain,
( ~ spl1851_136
| ~ spl1851_137 ),
inference(sat_conversion,[],[f12921]) ).
cnf(s147,plain,
spl1851_136,
inference(rat,[],[s124,s141]) ).
cnf(s148,plain,
~ spl1851_137,
inference(rat,[],[s142,s147]) ).
cnf(s149,plain,
$false,
inference(rat,[],[s123,s148,s147]) ).
fof(f12922,plain,
$false,
inference(avatar_sat_refutation,[],[s149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO440+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n001.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 08:20:00 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.66/2.59 % (3242383)Detected formulas, will run a generic FOF schedule.
% 10.66/2.59 % (3242494)dis-21_1_sil=8000:lcm=predicate:random_seed=2955728294:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2996 on theBenchmark for (2996ds/129Mi)
% 10.66/2.59 % (3242494)Instruction limit reached!
% 10.66/2.59 % (3242494)------------------------------
% 10.66/2.59 % (3242494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.66/2.59 % (3242494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.66/2.59 % (3242494)CaDiCaL version: 2.1.3
% 10.66/2.59 % (3242494)Termination reason: Instruction limit
% 10.66/2.59 % (3242494)Termination phase: Preprocessing 1
% 10.66/2.59 % (3242494)Time elapsed: 0.036 s
% 10.66/2.59 % (3242494)Peak memory usage: 89 MB
% 10.66/2.59 % (3242494)Instructions burned: 129 (million)
% 10.66/2.59 % (3242493)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=263897559:s2a=on:i=139:gtg=position_2996 on theBenchmark for (2996ds/139Mi)
% 10.66/2.59 % (3242489)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3599647098:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/134677Mi)
% 10.66/2.59 % (3242492)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2866798041:i=119:av=off:ss=axioms_2996 on theBenchmark for (2996ds/119Mi)
% 10.66/2.59 % (3242491)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3799429463:i=109:sd=1:ins=1:gsp=on:ss=axioms_2996 on theBenchmark for (2996ds/109Mi)
% 10.66/2.59 % (3242488)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=495998837:i=141193_2996 on theBenchmark for (2996ds/141193Mi)
% 10.66/2.59 % (3242490)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2886287058:i=141695:sd=1:nm=32:gsp=on:ss=included_2996 on theBenchmark for (2996ds/141695Mi)
% 10.66/2.59 % (3242493)Instruction limit reached!
% 10.66/2.59 % (3242493)------------------------------
% 10.66/2.59 % (3242493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.66/2.59 % (3242493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.66/2.59 % (3242493)CaDiCaL version: 2.1.3
% 10.66/2.59 % (3242493)Termination reason: Instruction limit
% 10.66/2.59 % (3242493)Termination phase: Property scanning
% 10.66/2.59 % (3242493)Time elapsed: 0.050 s
% 10.66/2.59 % (3242493)Peak memory usage: 89 MB
% 10.66/2.59 % (3242493)Instructions burned: 141 (million)
% 10.66/2.59 % (3242491)Instruction limit reached!
% 10.66/2.59 % (3242491)------------------------------
% 10.66/2.59 % (3242491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.66/2.59 % (3242491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.66/2.59 % (3242491)CaDiCaL version: 2.1.3
% 10.66/2.59 % (3242491)Termination reason: Instruction limit
% 10.66/2.59 % (3242491)Termination phase: Blocked clause elimination
% 10.66/2.59 % (3242491)Time elapsed: 0.054 s
% 10.66/2.59 % (3242491)Peak memory usage: 92 MB
% 10.66/2.59 % (3242491)Instructions burned: 109 (million)
% 10.66/2.59 % (3242492)Instruction limit reached!
% 10.66/2.59 % (3242492)------------------------------
% 10.66/2.59 % (3242492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.66/2.59 % (3242492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.66/2.59 % (3242492)CaDiCaL version: 2.1.3
% 10.66/2.59 % (3242492)Termination reason: Instruction limit
% 10.66/2.59 % (3242492)Termination phase: Naming
% 10.66/2.59 % (3242492)Time elapsed: 0.065 s
% 10.66/2.59 % (3242492)Peak memory usage: 91 MB
% 10.66/2.59 % (3242492)Instructions burned: 120 (million)
% 10.66/2.59 % (3242502)lrs+10_1_sil=8000:sp=occurrence:random_seed=3138284641:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 10.66/2.59 % (3242502)Instruction limit reached!
% 10.66/2.59 % (3242502)------------------------------
% 10.66/2.59 % (3242502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.66/2.59 % (3242502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.66/2.59 % (3242502)CaDiCaL version: 2.1.3
% 10.66/2.59 % (3242502)Termination reason: Instruction limit
% 10.66/2.59 % (3242502)Termination phase: Property scanning
% 10.66/2.59 % (3242502)Time elapsed: 0.070 s
% 10.66/2.59 % (3242502)Peak memory usage: 94 MB
% 10.66/2.59 % (3242502)Instructions burned: 291 (million)
% 19.15/3.84 % (3242503)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4204152772:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 19.15/3.84 % (3242504)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2075815251:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 19.15/3.84 % (3242505)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2085697786:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 19.15/3.84 % (3242503)Instruction limit reached!
% 19.15/3.84 % (3242503)------------------------------
% 19.15/3.84 % (3242503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/3.84 % (3242503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.84 % (3242503)CaDiCaL version: 2.1.3
% 19.15/3.84 % (3242503)Termination reason: Instruction limit
% 19.15/3.84 % (3242503)Termination phase: Property scanning
% 19.15/3.84 % (3242503)Time elapsed: 0.056 s
% 19.15/3.84 % (3242503)Peak memory usage: 89 MB
% 19.15/3.84 % (3242503)Instructions burned: 159 (million)
% 19.15/3.84 % (3242505)Instruction limit reached!
% 19.15/3.84 % (3242505)------------------------------
% 19.15/3.84 % (3242505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/3.84 % (3242505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.84 % (3242505)CaDiCaL version: 2.1.3
% 19.15/3.84 % (3242505)Termination reason: Instruction limit
% 19.15/3.84 % (3242505)Termination phase: Property scanning
% 19.15/3.84 % (3242505)Time elapsed: 0.086 s
% 19.15/3.84 % (3242505)Peak memory usage: 89 MB
% 19.15/3.84 % (3242505)Instructions burned: 249 (million)
% 19.15/3.84 % (3242507)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1868292925:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 19.15/3.84 % (3242504)Instruction limit reached!
% 19.15/3.84 % (3242504)------------------------------
% 19.15/3.84 % (3242504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/3.84 % (3242504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.84 % (3242504)CaDiCaL version: 2.1.3
% 19.15/3.84 % (3242504)Termination reason: Instruction limit
% 19.15/3.84 % (3242504)Termination phase: Saturation
% 19.15/3.84 % (3242504)Time elapsed: 0.179 s
% 19.15/3.84 % (3242504)Peak memory usage: 96 MB
% 19.15/3.84 % (3242504)Instructions burned: 326 (million)
% 19.15/3.84 % (3242507)Instruction limit reached!
% 19.15/3.84 % (3242507)------------------------------
% 19.15/3.84 % (3242507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/3.84 % (3242507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.84 % (3242507)CaDiCaL version: 2.1.3
% 19.15/3.84 % (3242507)Termination reason: Instruction limit
% 19.15/3.84 % (3242507)Termination phase: Preprocessing 3
% 19.15/3.84 % (3242507)Time elapsed: 0.080 s
% 19.15/3.84 % (3242507)Peak memory usage: 95 MB
% 19.15/3.84 % (3242507)Instructions burned: 297 (million)
% 19.15/3.84 % (3242511)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2575565312:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 19.15/3.84 % (3242513)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2555582168:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 19.15/3.84 % (3242516)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=193179854:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 19.15/3.84 % (3242513)Instruction limit reached!
% 19.15/3.84 % (3242513)------------------------------
% 19.15/3.84 % (3242513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/3.84 % (3242513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.84 % (3242513)CaDiCaL version: 2.1.3
% 19.15/3.84 % (3242513)Termination reason: Instruction limit
% 19.15/3.84 % (3242513)Termination phase: Preprocessing 1
% 19.15/3.84 % (3242513)Time elapsed: 0.062 s
% 19.15/3.84 % (3242513)Peak memory usage: 90 MB
% 19.15/3.84 % (3242513)Instructions burned: 114 (million)
% 19.15/3.84 % (3242516)Instruction limit reached!
% 19.15/3.84 % (3242516)------------------------------
% 19.15/3.84 % (3242516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/3.84 % (3242516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.84 % (3242516)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242516)Termination reason: Instruction limit
% 18.94/7.45 % (3242516)Termination phase: Property scanning
% 18.94/7.45 % (3242516)Time elapsed: 0.021 s
% 18.94/7.45 % (3242516)Peak memory usage: 89 MB
% 18.94/7.45 % (3242516)Instructions burned: 115 (million)
% 18.94/7.45 % (3242515)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2466302655:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 18.94/7.45 % (3242515)Instruction limit reached!
% 18.94/7.45 % (3242515)------------------------------
% 18.94/7.45 % (3242515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242515)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242515)Termination reason: Instruction limit
% 18.94/7.45 % (3242515)Termination phase: Preprocessing 3
% 18.94/7.45 % (3242515)Time elapsed: 0.068 s
% 18.94/7.45 % (3242515)Peak memory usage: 93 MB
% 18.94/7.45 % (3242515)Instructions burned: 128 (million)
% 18.94/7.45 % (3242521)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3542144193:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 18.94/7.45 % (3242520)lrs+10_1_sil=8000:sp=occurrence:random_seed=677581261:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 18.94/7.45 % (3242521)Instruction limit reached!
% 18.94/7.45 % (3242521)------------------------------
% 18.94/7.45 % (3242521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242521)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242521)Termination reason: Instruction limit
% 18.94/7.45 % (3242521)Termination phase: Saturation
% 18.94/7.45 % (3242521)Time elapsed: 0.108 s
% 18.94/7.45 % (3242521)Peak memory usage: 98 MB
% 18.94/7.45 % (3242521)Instructions burned: 439 (million)
% 18.94/7.45 % (3242523)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4224187526:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 18.94/7.45 % (3242526)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2757940343:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 18.94/7.45 % (3242526)Instruction limit reached!
% 18.94/7.45 % (3242526)------------------------------
% 18.94/7.45 % (3242526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242526)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242526)Termination reason: Instruction limit
% 18.94/7.45 % (3242526)Termination phase: NewCNF
% 18.94/7.45 % (3242526)Time elapsed: 0.042 s
% 18.94/7.45 % (3242526)Peak memory usage: 92 MB
% 18.94/7.45 % (3242526)Instructions burned: 135 (million)
% 18.94/7.45 % (3242529)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2936270328:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 18.94/7.45 % (3242520)Instruction limit reached!
% 18.94/7.45 % (3242520)------------------------------
% 18.94/7.45 % (3242520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242520)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242520)Termination reason: Instruction limit
% 18.94/7.45 % (3242520)Termination phase: Saturation
% 18.94/7.45 % (3242520)Time elapsed: 0.382 s
% 18.94/7.45 % (3242520)Peak memory usage: 100 MB
% 18.94/7.45 % (3242520)Instructions burned: 909 (million)
% 18.94/7.45 % (3242529)Instruction limit reached!
% 18.94/7.45 % (3242529)------------------------------
% 18.94/7.45 % (3242529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242529)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242529)Termination reason: Instruction limit
% 18.94/7.45 % (3242529)Termination phase: Property scanning
% 18.94/7.45 % (3242529)Time elapsed: 0.159 s
% 18.94/7.45 % (3242529)Peak memory usage: 102 MB
% 18.94/7.45 % (3242529)Instructions burned: 595 (million)
% 18.94/7.45 % (3242531)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2926141301:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 18.94/7.45 % (3242533)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2727873203:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 18.94/7.45 % (3242533)Instruction limit reached!
% 18.94/7.45 % (3242533)------------------------------
% 18.94/7.45 % (3242533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242533)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242533)Termination reason: Instruction limit
% 18.94/7.45 % (3242533)Termination phase: Property scanning
% 18.94/7.45 % (3242533)Time elapsed: 0.047 s
% 18.94/7.45 % (3242533)Peak memory usage: 89 MB
% 18.94/7.45 % (3242533)Instructions burned: 126 (million)
% 18.94/7.45 % (3242511)Instruction limit reached!
% 18.94/7.45 % (3242511)------------------------------
% 18.94/7.45 % (3242511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242511)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242511)Termination reason: Instruction limit
% 18.94/7.45 % (3242511)Termination phase: Property scanning
% 18.94/7.45 % (3242511)Time elapsed: 1.034 s
% 18.94/7.45 % (3242511)Peak memory usage: 103 MB
% 18.94/7.45 % (3242511)Instructions burned: 2351 (million)
% 18.94/7.45 % (3242550)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2776779403:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 18.94/7.45 % (3242549)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=84616477:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 18.94/7.45 % (3242549)Instruction limit reached!
% 18.94/7.45 % (3242549)------------------------------
% 18.94/7.45 % (3242549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242549)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242549)Termination reason: Instruction limit
% 18.94/7.45 % (3242549)Termination phase: Property scanning
% 18.94/7.45 % (3242549)Time elapsed: 0.099 s
% 18.94/7.45 % (3242549)Peak memory usage: 89 MB
% 18.94/7.45 % (3242549)Instructions burned: 135 (million)
% 18.94/7.45 % (3242550)Instruction limit reached!
% 18.94/7.45 % (3242550)------------------------------
% 18.94/7.45 % (3242550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242550)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242550)Termination reason: Instruction limit
% 18.94/7.45 % (3242550)Termination phase: Saturation
% 18.94/7.45 % (3242550)Time elapsed: 0.120 s
% 18.94/7.45 % (3242550)Peak memory usage: 94 MB
% 18.94/7.45 % (3242550)Instructions burned: 143 (million)
% 18.94/7.45 % (3242562)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1457192949:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 18.94/7.45 % (3242563)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1267947207:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 18.94/7.45 % (3242562)Instruction limit reached!
% 18.94/7.45 % (3242562)------------------------------
% 18.94/7.45 % (3242562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242562)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242562)Termination reason: Instruction limit
% 18.94/7.45 % (3242562)Termination phase: Saturation
% 18.94/7.45 % (3242562)Time elapsed: 0.190 s
% 18.94/7.45 % (3242562)Peak memory usage: 95 MB
% 18.94/7.45 % (3242562)Instructions burned: 434 (million)
% 18.94/7.45 % (3242573)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3740483693:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 18.94/7.45 % (3242573)Instruction limit reached!
% 18.94/7.45 % (3242573)------------------------------
% 18.94/7.45 % (3242573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242573)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242573)Termination reason: Instruction limit
% 18.94/7.45 % (3242573)Termination phase: Unused predicate definition removal
% 18.94/7.45 % (3242573)Time elapsed: 0.130 s
% 18.94/7.45 % (3242573)Peak memory usage: 90 MB
% 18.94/7.45 % (3242573)Instructions burned: 150 (million)
% 18.94/7.45 % (3242582)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2570505672:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 18.94/7.45 % (3242523)Instruction limit reached!
% 18.94/7.45 % (3242523)------------------------------
% 18.94/7.45 % (3242523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242523)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242523)Termination reason: Instruction limit
% 18.94/7.45 % (3242523)Termination phase: Saturation
% 18.94/7.45 % (3242523)Time elapsed: 3.423 s
% 18.94/7.45 % (3242523)Peak memory usage: 362 MB
% 18.94/7.45 % (3242523)Instructions burned: 5202 (million)
% 18.94/7.45 % (3242595)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2772483615:i=667:av=off:fsr=off_2952 on theBenchmark for (2952ds/667Mi)
% 18.94/7.45 % (3242595)Instruction limit reached!
% 18.94/7.45 % (3242595)------------------------------
% 18.94/7.45 % (3242595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242595)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242595)Termination reason: Instruction limit
% 18.94/7.45 % (3242595)Termination phase: Property scanning
% 18.94/7.45 % (3242595)Time elapsed: 0.297 s
% 18.94/7.45 % (3242595)Peak memory usage: 100 MB
% 18.94/7.45 % (3242595)Instructions burned: 668 (million)
% 18.94/7.45 % (3242603)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1124972933:s2a=on:i=185:s2at=1.8:fdi=4_2946 on theBenchmark for (2946ds/185Mi)
% 18.94/7.45 % (3242603)Instruction limit reached!
% 18.94/7.45 % (3242603)------------------------------
% 18.94/7.45 % (3242603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242603)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242603)Termination reason: Instruction limit
% 18.94/7.45 % (3242603)Termination phase: Preprocessing 1
% 18.94/7.45 % (3242603)Time elapsed: 0.088 s
% 18.94/7.45 % (3242603)Peak memory usage: 90 MB
% 18.94/7.45 % (3242603)Instructions burned: 186 (million)
% 18.94/7.45 % (3242606)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2883686064:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2943 on theBenchmark for (2943ds/193Mi)
% 18.94/7.45 % (3242606)Instruction limit reached!
% 18.94/7.45 % (3242606)------------------------------
% 18.94/7.45 % (3242606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/7.45 % (3242606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/7.45 % (3242606)CaDiCaL version: 2.1.3
% 18.94/7.45 % (3242606)Termination reason: Instruction limit
% 18.94/7.45 % (3242606)Termination phase: Naming
% 18.94/7.45 % (3242606)Time elapsed: 0.128 s
% 18.94/7.45 % (3242606)Peak memory usage: 91 MB
% 18.94/7.45 % (3242606)Instructions burned: 193 (million)
% 18.94/7.45 % (3242489)First to succeed.
% 18.94/7.45 % (3242611)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2454576159:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2939 on theBenchmark for (2939ds/4850Mi)
% 18.94/7.45 % (3242489)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3242383"
% 18.94/7.45 % (3242489)Refutation found. Thanks to Tanya!
% 18.94/7.45 % SZS status Theorem for theBenchmark
% 18.94/7.45 % SZS output start Proof for theBenchmark
% See solution above
% 46.14/7.73 % (3242489)------------------------------
% 46.14/7.73 % (3242489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/7.73 % (3242489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/7.73 % (3242489)CaDiCaL version: 2.1.3
% 46.14/7.73 % (3242489)Termination reason: Refutation
% 46.14/7.73 % (3242489)Time elapsed: 5.734 s
% 46.14/7.73 % (3242489)Peak memory usage: 287 MB
% 46.14/7.73 % (3242489)Instructions burned: 7795 (million)
% 46.14/7.73 % (3242489)------------------------------
% 46.14/7.73 % (3242489)------------------------------
% 46.14/7.73 % (3242383)Success in time 6.79 s
% 46.14/7.73 % Vampire exiting
%------------------------------------------------------------------------------